09.02.2014 Views

Ch3.2 Discrete Fourier Transform

Ch3.2 Discrete Fourier Transform

Ch3.2 Discrete Fourier Transform

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Inverse <strong>Discrete</strong> <strong>Fourier</strong> <strong>Transform</strong> (IDFT)<br />

• The sequence is called the discrete <strong>Fourier</strong> transform<br />

(DFT) of sequence .<br />

• Utilizing the notation , DFT is usually expressed as<br />

<br />

<br />

<br />

<br />

,01<br />

• The inverse discrete <strong>Fourier</strong> transform (IDFT) is given by<br />

<br />

1 <br />

<br />

,01<br />

• Question: Can we uniquely reconstruct from ? In other words,<br />

is ?<br />

Elec3100 Chapter 3<br />

6

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!